Things to do

I hope your schedule will allow you to arrive a few days early or stay a few days later...hopefully both! We will likely arrange a tour of the Tuscan hill towns sometime during the 4 day celebration. Maybe some from below: http://www.ricksteves.com/plan/destinations/italy/ctlitaly_hilltowns.htm
Since you will have a taste of the countryside at the villa and surrounding area, spend a couple of days in Rome for the city and historical experience. Here are some suggestions:
http://www.ricksteves.com/plan/destinations/italy/rome3.htm
Day trip (or more) to Florence?
http://www.ricksteves.com/plan/destinations/italy/florence3.htm